How to Reshape a Matrix into a Cell

I have a 821x9 matrix, which corresponsed to 821 time steps with all 9 entries of a 3x3 rotation matrix, in the formatting as follows:

timestep 1, R11 R12 R13 R21 R22 R23 R31 R32 R33

timestep 2, R11 R12 R13 R21 R22 R23 R31 R32 R33

etc...

timestep 821, R11 R12 R13 R21 R22 R23 R31 R32 R33

I want to convert this to a cell, so that I can have each timestep corresond to a single 3x3 rotation matrix.

In the end I want 821 cell entries, each containing a 3x3 rotation matrix like this:

cell entry 1, R11 R12 R13

R21 R22 R23

R31 R32 R33

cell entry 2, R11 R12 R13

R21 R22 R23

R31 R32 R33

etc...

cell entre 821, R11 R12 R13

R21 R22 R23

R31 R32 R33

I have tried using num2cell but have not been successful! Please help me.

Answer 1

[Voss]

% 821x9 matrix (filled with integers for illustration)
M = reshape(1:821*9,9,[]).'

M = 821x9

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90

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% convert to the required cell array
C = num2cell(permute(reshape(M.',3,3,[]),[2 1 3]),[1 2]);

% check the first few entries
C{1}

ans = 3x3

1 2 3 4 5 6 7 8 9

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C{2}

ans = 3x3

10 11 12 13 14 15 16 17 18

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C{3}

ans = 3x3

19 20 21 22 23 24 25 26 27

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Answer 2

[Star Strider]

Transpose the row vector, call reshape, then transpose that result —

syms R11 R12 R13 R21 R22 R23 R31 R32 R33 
k = 1;
timestep(k,:) = [R11 R12 R13 R21 R22 R23 R31 R32 R33]

timestep = 

cell{k} = reshape(timestep(k,:).', 3, []).'

cell = 1x1 cell array
    {3x3 sym}

cell{k}

ans = 

I did it in the Symbolic Math Toolbos here for effect. Use the same code with your data for each value of ‘timestep’.

Also, subscript the results rather than creating separate variables.

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